{"id":"https://openalex.org/W2949917305","doi":"https://doi.org/10.1137/16m1083621","title":"Surrogate Models for Oscillatory Systems Using Sparse Polynomial Chaos Expansions and Stochastic Time Warping","display_name":"Surrogate Models for Oscillatory Systems Using Sparse Polynomial Chaos Expansions and Stochastic Time Warping","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2949917305","doi":"https://doi.org/10.1137/16m1083621","mag":"2949917305"},"language":"en","primary_location":{"id":"doi:10.1137/16m1083621","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1083621","pdf_url":null,"source":{"id":"https://openalex.org/S2911293512","display_name":"SIAM/ASA Journal on Uncertainty Quantification","issn_l":"2166-2525","issn":["2166-2525"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM/ASA Journal on Uncertainty Quantification","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5090963731","display_name":"Chu V.","orcid":"https://orcid.org/0000-0002-1713-3489"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Chu V. Mai","raw_affiliation_strings":["Chair of Risk, Safety and Uncertainty Quantification, ETH Zurich, Stefano-Franscini-Platz 5, 8093 Zurich, Switzerland"],"affiliations":[{"raw_affiliation_string":"Chair of Risk, Safety and Uncertainty Quantification, ETH Zurich, Stefano-Franscini-Platz 5, 8093 Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024390567","display_name":"Bruno Sudret","orcid":"https://orcid.org/0000-0002-9501-7395"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Bruno Sudret","raw_affiliation_strings":["Chair of Risk, Safety and Uncertainty Quantification, ETH Zurich, Stefano-Franscini-Platz 5, 8093 Zurich, Switzerland"],"affiliations":[{"raw_affiliation_string":"Chair of Risk, Safety and Uncertainty Quantification, ETH Zurich, Stefano-Franscini-Platz 5, 8093 Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5024390567"],"corresponding_institution_ids":["https://openalex.org/I35440088"],"apc_list":null,"apc_paid":null,"fwci":3.8439,"has_fulltext":false,"cited_by_count":45,"citation_normalized_percentile":{"value":0.94256826,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"5","issue":"1","first_page":"540","last_page":"571"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9634000062942505,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11372","display_name":"Hydraulic and Pneumatic Systems","score":0.939300000667572,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/polynomial-chaos","display_name":"Polynomial chaos","score":0.6578600406646729},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6120121479034424},{"id":"https://openalex.org/keywords/dynamic-time-warping","display_name":"Dynamic time warping","score":0.600699245929718},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.5597403645515442},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5392566919326782},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.5117904543876648},{"id":"https://openalex.org/keywords/realization","display_name":"Realization (probability)","score":0.4993324279785156},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4655955731868744},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46422597765922546},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.4471568465232849},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3938259482383728},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3911474645137787},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.23961183428764343},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1288752555847168}],"concepts":[{"id":"https://openalex.org/C197656079","wikidata":"https://www.wikidata.org/wiki/Q17147719","display_name":"Polynomial chaos","level":3,"score":0.6578600406646729},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6120121479034424},{"id":"https://openalex.org/C88516994","wikidata":"https://www.wikidata.org/wiki/Q1268863","display_name":"Dynamic time warping","level":2,"score":0.600699245929718},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.5597403645515442},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5392566919326782},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.5117904543876648},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.4993324279785156},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4655955731868744},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46422597765922546},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.4471568465232849},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3938259482383728},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3911474645137787},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.23961183428764343},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1288752555847168},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/16m1083621","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1083621","pdf_url":null,"source":{"id":"https://openalex.org/S2911293512","display_name":"SIAM/ASA Journal on Uncertainty Quantification","issn_l":"2166-2525","issn":["2166-2525"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM/ASA Journal on Uncertainty Quantification","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W173685753","https://openalex.org/W650276496","https://openalex.org/W1538934584","https://openalex.org/W1968260836","https://openalex.org/W1970033726","https://openalex.org/W1972317660","https://openalex.org/W1978744409","https://openalex.org/W1979617415","https://openalex.org/W1982925686","https://openalex.org/W1989716069","https://openalex.org/W1992342827","https://openalex.org/W1993577701","https://openalex.org/W1997011833","https://openalex.org/W2004379372","https://openalex.org/W2006620245","https://openalex.org/W2010737928","https://openalex.org/W2018159038","https://openalex.org/W2029289838","https://openalex.org/W2030308624","https://openalex.org/W2040714014","https://openalex.org/W2042483545","https://openalex.org/W2045355467","https://openalex.org/W2047120823","https://openalex.org/W2061604462","https://openalex.org/W2063978378","https://openalex.org/W2064147828","https://openalex.org/W2065083037","https://openalex.org/W2083415217","https://openalex.org/W2087164036","https://openalex.org/W2097927798","https://openalex.org/W2119334003","https://openalex.org/W2128160875","https://openalex.org/W2128636568","https://openalex.org/W2137214812","https://openalex.org/W2139798157","https://openalex.org/W2142678007","https://openalex.org/W2163221713","https://openalex.org/W2167387062","https://openalex.org/W2487720507","https://openalex.org/W2556216835","https://openalex.org/W2797828903","https://openalex.org/W2950604981","https://openalex.org/W2953211322","https://openalex.org/W2962861081","https://openalex.org/W3028210855","https://openalex.org/W4240093485"],"related_works":["https://openalex.org/W2030799363","https://openalex.org/W2950183183","https://openalex.org/W2341338763","https://openalex.org/W2288425735","https://openalex.org/W2349923317","https://openalex.org/W2894081631","https://openalex.org/W2986063033","https://openalex.org/W2040439981","https://openalex.org/W2472888994","https://openalex.org/W2147052742"],"abstract_inverted_index":{"Polynomial":[0],"chaos":[1],"expansions":[2],"(PCEs)":[3],"have":[4],"proven":[5],"efficiency":[6],"in":[7,49,54,96,112,163],"a":[8,64,97,134,179],"number":[9],"of":[10,19,39,76,149,178],"fields":[11],"for":[12,141,146],"propagating":[13],"parametric":[14],"uncertainties":[15],"through":[16],"computational":[17],"models":[18],"complex":[20],"systems,":[21],"namely":[22],"structural":[23],"and":[24,29,116,175],"fluid":[25],"mechanics,":[26],"chemical":[27,173],"reactions":[28],"electromagnetism,":[30],"etc.":[31],"For":[32],"problems":[33,159],"involving":[34],"oscillatory,":[35],"time-dependent":[36,165],"output":[37],"quantities":[38],"interest,":[40],"it":[41],"is":[42,52,80,105,154],"well":[43],"known":[44],"that":[45,160],"achieving":[46],"reasonable":[47],"accuracy":[48],"PCE-based":[50],"approaches":[51],"difficult":[53],"the":[55,77,109,129,150,164],"long":[56],"term.":[57],"To":[58],"address":[59],"this":[60],"issue,":[61],"we":[62],"propose":[63],"fully":[65],"nonintrusive":[66],"approach":[67,132,153],"based":[68],"on":[69,156],"stochastic":[70],"time":[71,86,100],"warping:":[72],"each":[73],"realization":[74],"(trajectory)":[75],"model":[78],"response":[79],"first":[81],"rescaled":[82],"to":[83,90,107,127],"its":[84],"own":[85],"scale":[87],"so":[88],"as":[89,169],"put":[91],"all":[92],"sampled":[93],"trajectories":[94,143],"in-phase":[95],"common":[98],"virtual":[99],"line.":[101],"Principal":[102],"component":[103],"analysis":[104],"introduced":[106],"compress":[108],"information":[110],"contained":[111],"these":[113],"transformed":[114],"trajectories,":[115],"then":[117],"sparse":[118],"PCE":[119,166],"representations":[120],"using":[121],"least":[122],"angle":[123],"regression":[124],"are":[125,161],"used":[126],"approximate":[128],"components.":[130],"The":[131,152],"shows":[133],"remarkably":[135],"small":[136],"prediction":[137],"error":[138],"not":[139],"only":[140],"particular":[142],"but":[144],"also":[145],"second-order":[147],"statistics":[148],"latter.":[151],"illustrated":[155],"different":[157],"benchmark":[158],"well-known":[162],"literature,":[167],"such":[168],"rigid":[170],"body":[171],"dynamics,":[172],"reactions,":[174],"forced":[176],"oscillations":[177],"nonlinear":[180],"system.":[181]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":2}],"updated_date":"2026-04-07T14:57:38.498316","created_date":"2025-10-10T00:00:00"}
